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45. Imagine the point (0, 1) on the terminal side of an angle. Find the value for the secant of this angle. undefined 0. -1

45. Imagine the point (0, 1) on the terminal side of an angle. Find the value for the secant of this angle. undefined 0. -1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem:** 45. Imagine the point \( (0, 1) \) on the terminal side of an angle. Find the value for the secant of this angle. Options: - \( \) undefined - \( \) 1 - \( \) 0 - \( \) -1 **Solution Explanation:** The secant of an angle is defined as the reciprocal of the cosine of that angle. In the context of a unit circle, the cosine of an angle corresponds to the x-coordinate of a point on the unit circle. Given the point \( (0, 1) \), the x-coordinate is 0. The cosine, therefore, is 0, making the secant undefined because \(\frac{1}{0}\) is undefined. Thus, the correct option is "undefined."
Transcribed Image Text:**Problem:** 45. Imagine the point \( (0, 1) \) on the terminal side of an angle. Find the value for the secant of this angle. Options: - \( \) undefined - \( \) 1 - \( \) 0 - \( \) -1 **Solution Explanation:** The secant of an angle is defined as the reciprocal of the cosine of that angle. In the context of a unit circle, the cosine of an angle corresponds to the x-coordinate of a point on the unit circle. Given the point \( (0, 1) \), the x-coordinate is 0. The cosine, therefore, is 0, making the secant undefined because \(\frac{1}{0}\) is undefined. Thus, the correct option is "undefined."
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